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math.AP2019★ 3 cited
Nonlocal Poincaré Inequalities for Integral Operators with Integrable Nonhomogeneous Kernels
Mikil Foss
The paper provides two versions of nonlocal Poincaré-type inequalities for integral operators with a convolution-type structure and functions satisfying a zero-Dirichlet like condi…
math.AP2019
Existence and regularity of minimizers for nonlocal energy functionals
Mikil D. Foss, Petronela Radu, Cory Wright
In this paper we consider minimizers for nonlocal energy functionals generalizing elastic energies that are connected with the theory of peridynamics \cite{Silling2000} or nonlocal…